y-y^2=3

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Solution for y-y^2=3 equation:


Simplifying
y + -1y2 = 3

Solving
y + -1y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + y + -1y2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -1y + y2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1y + -3 + y2 = 0 + -3

Reorder the terms:
3 + -3 + -1y + y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y + y2 = 0 + -3
-1y + y2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1y + y2 = -3

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -3 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -1y + y2 = -2.75

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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